Find an Explicit Description of the Null Space of Matrix $$A = \left[ \begin{array} { r r r r } 1 & - 2 & - 2 & - 2 \\0 & 1 & 3 & 4\end{array} \right]$$

question 41

Multiple Choice

Find an explicit description of the null space of matrix A by listing vectors that span the null space.
- $$A = \left[ \begin{array} { r r r r } 1 & - 2 & - 2 & - 2 \\0 & 1 & 3 & 4\end{array} \right]$$

• A)
• \(\left[ \begin{array} { r } - 4 \\ - 3 \\ 1 \\ 0 \end{array} \right] , \left[ \begin{array} { r } - 6 \\ - 4 \\ 0 \\ 1 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { l } 2 \\ 1 \\ 0 \\ 0 \end{array} \right] , \left[ \begin{array} { r } 2 \\ - 3 \\ 1 \\ 0 \end{array} \right] , \left[ \begin{array} { r } 2 \\ - 4 \\ 0 \\ 1 \end{array} \right]\)
• C)
• \(\left[ \begin{array} { l } 2 \\ 1 \\ 0 \\ 0 \end{array} \right] , \left[ \begin{array} { r } - 4 \\ - 3 \\ 1 \\ 0 \end{array} \right] , \left[ \begin{array} { r } - 6 \\ - 4 \\ 0 \\ 1 \end{array} \right]\)
• D)
• \(\left[ \begin{array} { r } 2 \\ - 3 \\ 1 \\ 0 \end{array} \right] , \left[ \begin{array} { r } 2 \\ - 4 \\ 0 \\ 1 \end{array} \right]\)